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Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. x + y ≤ 7 -2x + 3y ≥ 15 x20, y20 The maximum value of M is which is attained for x = and y=

Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. x + y ≤ 7 -2x + 3y ≥ 15 x20, y20 The maximum value of M is which is attained for x = and y=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. X + y ≤ 7 - 2x + 3y ≥ 15 x≥0, y 20 The maximum value of Mis which is attained for x = and y=. C----
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. X + y ≤ 7 - 2x + 3y ≥ 15 x≥0, y 20 The maximum value of Mis which is attained for x = and y=. C----
Expert Solution
Step 1: Given the information

The given LPP,

Maximize M equals 60 x plus 45 y

Subject to the constraints,

table row cell x plus y end cell less or equal than 7 row cell negative 2 x plus 3 y end cell greater or equal than 15 row cell x comma space y end cell greater or equal than 0 end table

The aim is to solve the LPP using the simplex method.

steps

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